1 /* crypto/ec/ec_lib.c */
3 * Originally written by Bodo Moeller for the OpenSSL project.
5 /* ====================================================================
6 * Copyright (c) 1998-2003 The OpenSSL Project. All rights reserved.
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
12 * 1. Redistributions of source code must retain the above copyright
13 * notice, this list of conditions and the following disclaimer.
15 * 2. Redistributions in binary form must reproduce the above copyright
16 * notice, this list of conditions and the following disclaimer in
17 * the documentation and/or other materials provided with the
20 * 3. All advertising materials mentioning features or use of this
21 * software must display the following acknowledgment:
22 * "This product includes software developed by the OpenSSL Project
23 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
25 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
26 * endorse or promote products derived from this software without
27 * prior written permission. For written permission, please contact
28 * openssl-core@openssl.org.
30 * 5. Products derived from this software may not be called "OpenSSL"
31 * nor may "OpenSSL" appear in their names without prior written
32 * permission of the OpenSSL Project.
34 * 6. Redistributions of any form whatsoever must retain the following
36 * "This product includes software developed by the OpenSSL Project
37 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
39 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
40 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
41 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
42 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
43 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
44 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
45 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
46 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
48 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
49 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
50 * OF THE POSSIBILITY OF SUCH DAMAGE.
51 * ====================================================================
53 * This product includes cryptographic software written by Eric Young
54 * (eay@cryptsoft.com). This product includes software written by Tim
55 * Hudson (tjh@cryptsoft.com).
58 /* ====================================================================
59 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
60 * Binary polynomial ECC support in OpenSSL originally developed by
61 * SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project.
66 #include <openssl/err.h>
67 #include <openssl/opensslv.h>
71 static const char EC_version
[] = "EC" OPENSSL_VERSION_PTEXT
;
74 /* functions for EC_GROUP objects */
76 EC_GROUP
*EC_GROUP_new(const EC_METHOD
*meth
)
82 ECerr(EC_F_EC_GROUP_NEW
, EC_R_SLOT_FULL
);
85 if (meth
->group_init
== 0)
87 ECerr(EC_F_EC_GROUP_NEW
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
91 ret
= OPENSSL_malloc(sizeof *ret
);
94 ECerr(EC_F_EC_GROUP_NEW
, ERR_R_MALLOC_FAILURE
);
100 ret
->extra_data
= NULL
;
102 ret
->generator
= NULL
;
103 BN_init(&ret
->order
);
104 BN_init(&ret
->cofactor
);
108 ret
->asn1_form
= POINT_CONVERSION_UNCOMPRESSED
;
113 if (!meth
->group_init(ret
))
123 void EC_GROUP_free(EC_GROUP
*group
)
127 if (group
->meth
->group_finish
!= 0)
128 group
->meth
->group_finish(group
);
130 EC_EX_DATA_free_all_data(&group
->extra_data
);
132 if (group
->generator
!= NULL
)
133 EC_POINT_free(group
->generator
);
134 BN_free(&group
->order
);
135 BN_free(&group
->cofactor
);
138 OPENSSL_free(group
->seed
);
144 void EC_GROUP_clear_free(EC_GROUP
*group
)
148 if (group
->meth
->group_clear_finish
!= 0)
149 group
->meth
->group_clear_finish(group
);
150 else if (group
->meth
->group_finish
!= 0)
151 group
->meth
->group_finish(group
);
153 EC_EX_DATA_clear_free_all_data(&group
->extra_data
);
155 if (group
->generator
!= NULL
)
156 EC_POINT_clear_free(group
->generator
);
157 BN_clear_free(&group
->order
);
158 BN_clear_free(&group
->cofactor
);
162 OPENSSL_cleanse(group
->seed
, group
->seed_len
);
163 OPENSSL_free(group
->seed
);
166 OPENSSL_cleanse(group
, sizeof *group
);
171 int EC_GROUP_copy(EC_GROUP
*dest
, const EC_GROUP
*src
)
175 if (dest
->meth
->group_copy
== 0)
177 ECerr(EC_F_EC_GROUP_COPY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
180 if (dest
->meth
!= src
->meth
)
182 ECerr(EC_F_EC_GROUP_COPY
, EC_R_INCOMPATIBLE_OBJECTS
);
188 EC_EX_DATA_free_all_data(&dest
->extra_data
);
190 for (d
= src
->extra_data
; d
!= NULL
; d
= d
->next
)
192 void *t
= d
->dup_func(d
->data
);
196 if (!EC_EX_DATA_set_data(&dest
->extra_data
, t
, d
->dup_func
, d
->free_func
, d
->clear_free_func
))
200 if (src
->generator
!= NULL
)
202 if (dest
->generator
== NULL
)
204 dest
->generator
= EC_POINT_new(dest
);
205 if (dest
->generator
== NULL
) return 0;
207 if (!EC_POINT_copy(dest
->generator
, src
->generator
)) return 0;
211 /* src->generator == NULL */
212 if (dest
->generator
!= NULL
)
214 EC_POINT_clear_free(dest
->generator
);
215 dest
->generator
= NULL
;
219 if (!BN_copy(&dest
->order
, &src
->order
)) return 0;
220 if (!BN_copy(&dest
->cofactor
, &src
->cofactor
)) return 0;
222 dest
->curve_name
= src
->curve_name
;
223 dest
->asn1_flag
= src
->asn1_flag
;
224 dest
->asn1_form
= src
->asn1_form
;
229 OPENSSL_free(dest
->seed
);
230 dest
->seed
= OPENSSL_malloc(src
->seed_len
);
231 if (dest
->seed
== NULL
)
233 if (!memcpy(dest
->seed
, src
->seed
, src
->seed_len
))
235 dest
->seed_len
= src
->seed_len
;
240 OPENSSL_free(dest
->seed
);
246 return dest
->meth
->group_copy(dest
, src
);
250 EC_GROUP
*EC_GROUP_dup(const EC_GROUP
*a
)
255 if (a
== NULL
) return NULL
;
257 if ((t
= EC_GROUP_new(a
->meth
)) == NULL
) return(NULL
);
258 if (!EC_GROUP_copy(t
, a
)) goto err
;
265 if (t
) EC_GROUP_free(t
);
272 const EC_METHOD
*EC_GROUP_method_of(const EC_GROUP
*group
)
278 int EC_METHOD_get_field_type(const EC_METHOD
*meth
)
280 return meth
->field_type
;
284 int EC_GROUP_set_generator(EC_GROUP
*group
, const EC_POINT
*generator
, const BIGNUM
*order
, const BIGNUM
*cofactor
)
286 if (generator
== NULL
)
288 ECerr(EC_F_EC_GROUP_SET_GENERATOR
, ERR_R_PASSED_NULL_PARAMETER
);
292 if (group
->generator
== NULL
)
294 group
->generator
= EC_POINT_new(group
);
295 if (group
->generator
== NULL
) return 0;
297 if (!EC_POINT_copy(group
->generator
, generator
)) return 0;
300 { if (!BN_copy(&group
->order
, order
)) return 0; }
302 BN_zero(&group
->order
);
304 if (cofactor
!= NULL
)
305 { if (!BN_copy(&group
->cofactor
, cofactor
)) return 0; }
307 BN_zero(&group
->cofactor
);
313 const EC_POINT
*EC_GROUP_get0_generator(const EC_GROUP
*group
)
315 return group
->generator
;
319 int EC_GROUP_get_order(const EC_GROUP
*group
, BIGNUM
*order
, BN_CTX
*ctx
)
321 if (!BN_copy(order
, &group
->order
))
324 return !BN_is_zero(order
);
328 int EC_GROUP_get_cofactor(const EC_GROUP
*group
, BIGNUM
*cofactor
, BN_CTX
*ctx
)
330 if (!BN_copy(cofactor
, &group
->cofactor
))
333 return !BN_is_zero(&group
->cofactor
);
337 void EC_GROUP_set_curve_name(EC_GROUP
*group
, int nid
)
339 group
->curve_name
= nid
;
343 int EC_GROUP_get_curve_name(const EC_GROUP
*group
)
345 return group
->curve_name
;
349 void EC_GROUP_set_asn1_flag(EC_GROUP
*group
, int flag
)
351 group
->asn1_flag
= flag
;
355 int EC_GROUP_get_asn1_flag(const EC_GROUP
*group
)
357 return group
->asn1_flag
;
361 void EC_GROUP_set_point_conversion_form(EC_GROUP
*group
,
362 point_conversion_form_t form
)
364 group
->asn1_form
= form
;
368 point_conversion_form_t
EC_GROUP_get_point_conversion_form(const EC_GROUP
*group
)
370 return group
->asn1_form
;
374 size_t EC_GROUP_set_seed(EC_GROUP
*group
, const unsigned char *p
, size_t len
)
378 OPENSSL_free(group
->seed
);
386 if ((group
->seed
= OPENSSL_malloc(len
)) == NULL
)
388 memcpy(group
->seed
, p
, len
);
389 group
->seed_len
= len
;
395 unsigned char *EC_GROUP_get0_seed(const EC_GROUP
*group
)
401 size_t EC_GROUP_get_seed_len(const EC_GROUP
*group
)
403 return group
->seed_len
;
407 int EC_GROUP_set_curve_GFp(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
, const BIGNUM
*b
, BN_CTX
*ctx
)
409 if (group
->meth
->group_set_curve
== 0)
411 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
414 return group
->meth
->group_set_curve(group
, p
, a
, b
, ctx
);
418 int EC_GROUP_get_curve_GFp(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
, BIGNUM
*b
, BN_CTX
*ctx
)
420 if (group
->meth
->group_get_curve
== 0)
422 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
425 return group
->meth
->group_get_curve(group
, p
, a
, b
, ctx
);
428 #ifndef OPENSSL_NO_EC2M
429 int EC_GROUP_set_curve_GF2m(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
, const BIGNUM
*b
, BN_CTX
*ctx
)
431 if (group
->meth
->group_set_curve
== 0)
433 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
436 return group
->meth
->group_set_curve(group
, p
, a
, b
, ctx
);
440 int EC_GROUP_get_curve_GF2m(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
, BIGNUM
*b
, BN_CTX
*ctx
)
442 if (group
->meth
->group_get_curve
== 0)
444 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
447 return group
->meth
->group_get_curve(group
, p
, a
, b
, ctx
);
451 int EC_GROUP_get_degree(const EC_GROUP
*group
)
453 if (group
->meth
->group_get_degree
== 0)
455 ECerr(EC_F_EC_GROUP_GET_DEGREE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
458 return group
->meth
->group_get_degree(group
);
462 int EC_GROUP_check_discriminant(const EC_GROUP
*group
, BN_CTX
*ctx
)
464 if (group
->meth
->group_check_discriminant
== 0)
466 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
469 return group
->meth
->group_check_discriminant(group
, ctx
);
473 int EC_GROUP_cmp(const EC_GROUP
*a
, const EC_GROUP
*b
, BN_CTX
*ctx
)
476 BIGNUM
*a1
, *a2
, *a3
, *b1
, *b2
, *b3
;
477 BN_CTX
*ctx_new
= NULL
;
479 /* compare the field types*/
480 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a
)) !=
481 EC_METHOD_get_field_type(EC_GROUP_method_of(b
)))
483 /* compare the curve name (if present) */
484 if (EC_GROUP_get_curve_name(a
) && EC_GROUP_get_curve_name(b
) &&
485 EC_GROUP_get_curve_name(a
) == EC_GROUP_get_curve_name(b
))
489 ctx_new
= ctx
= BN_CTX_new();
494 a1
= BN_CTX_get(ctx
);
495 a2
= BN_CTX_get(ctx
);
496 a3
= BN_CTX_get(ctx
);
497 b1
= BN_CTX_get(ctx
);
498 b2
= BN_CTX_get(ctx
);
499 b3
= BN_CTX_get(ctx
);
508 /* XXX This approach assumes that the external representation
509 * of curves over the same field type is the same.
511 if (!a
->meth
->group_get_curve(a
, a1
, a2
, a3
, ctx
) ||
512 !b
->meth
->group_get_curve(b
, b1
, b2
, b3
, ctx
))
515 if (r
|| BN_cmp(a1
, b1
) || BN_cmp(a2
, b2
) || BN_cmp(a3
, b3
))
518 /* XXX EC_POINT_cmp() assumes that the methods are equal */
519 if (r
|| EC_POINT_cmp(a
, EC_GROUP_get0_generator(a
),
520 EC_GROUP_get0_generator(b
), ctx
))
525 /* compare the order and cofactor */
526 if (!EC_GROUP_get_order(a
, a1
, ctx
) ||
527 !EC_GROUP_get_order(b
, b1
, ctx
) ||
528 !EC_GROUP_get_cofactor(a
, a2
, ctx
) ||
529 !EC_GROUP_get_cofactor(b
, b2
, ctx
))
536 if (BN_cmp(a1
, b1
) || BN_cmp(a2
, b2
))
548 /* this has 'package' visibility */
549 int EC_EX_DATA_set_data(EC_EXTRA_DATA
**ex_data
, void *data
,
550 void *(*dup_func
)(void *), void (*free_func
)(void *), void (*clear_free_func
)(void *))
557 for (d
= *ex_data
; d
!= NULL
; d
= d
->next
)
559 if (d
->dup_func
== dup_func
&& d
->free_func
== free_func
&& d
->clear_free_func
== clear_free_func
)
561 ECerr(EC_F_EC_EX_DATA_SET_DATA
, EC_R_SLOT_FULL
);
567 /* no explicit entry needed */
570 d
= OPENSSL_malloc(sizeof *d
);
575 d
->dup_func
= dup_func
;
576 d
->free_func
= free_func
;
577 d
->clear_free_func
= clear_free_func
;
585 /* this has 'package' visibility */
586 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA
*ex_data
,
587 void *(*dup_func
)(void *), void (*free_func
)(void *), void (*clear_free_func
)(void *))
589 const EC_EXTRA_DATA
*d
;
591 for (d
= ex_data
; d
!= NULL
; d
= d
->next
)
593 if (d
->dup_func
== dup_func
&& d
->free_func
== free_func
&& d
->clear_free_func
== clear_free_func
)
600 /* this has 'package' visibility */
601 void EC_EX_DATA_free_data(EC_EXTRA_DATA
**ex_data
,
602 void *(*dup_func
)(void *), void (*free_func
)(void *), void (*clear_free_func
)(void *))
609 for (p
= ex_data
; *p
!= NULL
; p
= &((*p
)->next
))
611 if ((*p
)->dup_func
== dup_func
&& (*p
)->free_func
== free_func
&& (*p
)->clear_free_func
== clear_free_func
)
613 EC_EXTRA_DATA
*next
= (*p
)->next
;
615 (*p
)->free_func((*p
)->data
);
624 /* this has 'package' visibility */
625 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA
**ex_data
,
626 void *(*dup_func
)(void *), void (*free_func
)(void *), void (*clear_free_func
)(void *))
633 for (p
= ex_data
; *p
!= NULL
; p
= &((*p
)->next
))
635 if ((*p
)->dup_func
== dup_func
&& (*p
)->free_func
== free_func
&& (*p
)->clear_free_func
== clear_free_func
)
637 EC_EXTRA_DATA
*next
= (*p
)->next
;
639 (*p
)->clear_free_func((*p
)->data
);
648 /* this has 'package' visibility */
649 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA
**ex_data
)
659 EC_EXTRA_DATA
*next
= d
->next
;
661 d
->free_func(d
->data
);
669 /* this has 'package' visibility */
670 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA
**ex_data
)
680 EC_EXTRA_DATA
*next
= d
->next
;
682 d
->clear_free_func(d
->data
);
691 /* functions for EC_POINT objects */
693 EC_POINT
*EC_POINT_new(const EC_GROUP
*group
)
699 ECerr(EC_F_EC_POINT_NEW
, ERR_R_PASSED_NULL_PARAMETER
);
702 if (group
->meth
->point_init
== 0)
704 ECerr(EC_F_EC_POINT_NEW
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
708 ret
= OPENSSL_malloc(sizeof *ret
);
711 ECerr(EC_F_EC_POINT_NEW
, ERR_R_MALLOC_FAILURE
);
715 ret
->meth
= group
->meth
;
717 if (!ret
->meth
->point_init(ret
))
727 void EC_POINT_free(EC_POINT
*point
)
731 if (point
->meth
->point_finish
!= 0)
732 point
->meth
->point_finish(point
);
737 void EC_POINT_clear_free(EC_POINT
*point
)
741 if (point
->meth
->point_clear_finish
!= 0)
742 point
->meth
->point_clear_finish(point
);
743 else if (point
->meth
->point_finish
!= 0)
744 point
->meth
->point_finish(point
);
745 OPENSSL_cleanse(point
, sizeof *point
);
750 int EC_POINT_copy(EC_POINT
*dest
, const EC_POINT
*src
)
752 if (dest
->meth
->point_copy
== 0)
754 ECerr(EC_F_EC_POINT_COPY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
757 if (dest
->meth
!= src
->meth
)
759 ECerr(EC_F_EC_POINT_COPY
, EC_R_INCOMPATIBLE_OBJECTS
);
764 return dest
->meth
->point_copy(dest
, src
);
768 EC_POINT
*EC_POINT_dup(const EC_POINT
*a
, const EC_GROUP
*group
)
773 if (a
== NULL
) return NULL
;
775 t
= EC_POINT_new(group
);
776 if (t
== NULL
) return(NULL
);
777 r
= EC_POINT_copy(t
, a
);
787 const EC_METHOD
*EC_POINT_method_of(const EC_POINT
*point
)
793 int EC_POINT_set_to_infinity(const EC_GROUP
*group
, EC_POINT
*point
)
795 if (group
->meth
->point_set_to_infinity
== 0)
797 ECerr(EC_F_EC_POINT_SET_TO_INFINITY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
800 if (group
->meth
!= point
->meth
)
802 ECerr(EC_F_EC_POINT_SET_TO_INFINITY
, EC_R_INCOMPATIBLE_OBJECTS
);
805 return group
->meth
->point_set_to_infinity(group
, point
);
809 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP
*group
, EC_POINT
*point
,
810 const BIGNUM
*x
, const BIGNUM
*y
, const BIGNUM
*z
, BN_CTX
*ctx
)
812 if (group
->meth
->point_set_Jprojective_coordinates_GFp
== 0)
814 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
817 if (group
->meth
!= point
->meth
)
819 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP
, EC_R_INCOMPATIBLE_OBJECTS
);
822 return group
->meth
->point_set_Jprojective_coordinates_GFp(group
, point
, x
, y
, z
, ctx
);
826 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP
*group
, const EC_POINT
*point
,
827 BIGNUM
*x
, BIGNUM
*y
, BIGNUM
*z
, BN_CTX
*ctx
)
829 if (group
->meth
->point_get_Jprojective_coordinates_GFp
== 0)
831 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
834 if (group
->meth
!= point
->meth
)
836 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP
, EC_R_INCOMPATIBLE_OBJECTS
);
839 return group
->meth
->point_get_Jprojective_coordinates_GFp(group
, point
, x
, y
, z
, ctx
);
843 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP
*group
, EC_POINT
*point
,
844 const BIGNUM
*x
, const BIGNUM
*y
, BN_CTX
*ctx
)
846 if (group
->meth
->point_set_affine_coordinates
== 0)
848 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
851 if (group
->meth
!= point
->meth
)
853 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
, EC_R_INCOMPATIBLE_OBJECTS
);
856 return group
->meth
->point_set_affine_coordinates(group
, point
, x
, y
, ctx
);
859 #ifndef OPENSSL_NO_EC2M
860 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP
*group
, EC_POINT
*point
,
861 const BIGNUM
*x
, const BIGNUM
*y
, BN_CTX
*ctx
)
863 if (group
->meth
->point_set_affine_coordinates
== 0)
865 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
868 if (group
->meth
!= point
->meth
)
870 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
, EC_R_INCOMPATIBLE_OBJECTS
);
873 return group
->meth
->point_set_affine_coordinates(group
, point
, x
, y
, ctx
);
877 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP
*group
, const EC_POINT
*point
,
878 BIGNUM
*x
, BIGNUM
*y
, BN_CTX
*ctx
)
880 if (group
->meth
->point_get_affine_coordinates
== 0)
882 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
885 if (group
->meth
!= point
->meth
)
887 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP
, EC_R_INCOMPATIBLE_OBJECTS
);
890 return group
->meth
->point_get_affine_coordinates(group
, point
, x
, y
, ctx
);
893 #ifndef OPENSSL_NO_EC2M
894 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP
*group
, const EC_POINT
*point
,
895 BIGNUM
*x
, BIGNUM
*y
, BN_CTX
*ctx
)
897 if (group
->meth
->point_get_affine_coordinates
== 0)
899 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
902 if (group
->meth
!= point
->meth
)
904 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M
, EC_R_INCOMPATIBLE_OBJECTS
);
907 return group
->meth
->point_get_affine_coordinates(group
, point
, x
, y
, ctx
);
911 int EC_POINT_add(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
, const EC_POINT
*b
, BN_CTX
*ctx
)
913 if (group
->meth
->add
== 0)
915 ECerr(EC_F_EC_POINT_ADD
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
918 if ((group
->meth
!= r
->meth
) || (r
->meth
!= a
->meth
) || (a
->meth
!= b
->meth
))
920 ECerr(EC_F_EC_POINT_ADD
, EC_R_INCOMPATIBLE_OBJECTS
);
923 return group
->meth
->add(group
, r
, a
, b
, ctx
);
927 int EC_POINT_dbl(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
, BN_CTX
*ctx
)
929 if (group
->meth
->dbl
== 0)
931 ECerr(EC_F_EC_POINT_DBL
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
934 if ((group
->meth
!= r
->meth
) || (r
->meth
!= a
->meth
))
936 ECerr(EC_F_EC_POINT_DBL
, EC_R_INCOMPATIBLE_OBJECTS
);
939 return group
->meth
->dbl(group
, r
, a
, ctx
);
943 int EC_POINT_invert(const EC_GROUP
*group
, EC_POINT
*a
, BN_CTX
*ctx
)
945 if (group
->meth
->dbl
== 0)
947 ECerr(EC_F_EC_POINT_INVERT
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
950 if (group
->meth
!= a
->meth
)
952 ECerr(EC_F_EC_POINT_INVERT
, EC_R_INCOMPATIBLE_OBJECTS
);
955 return group
->meth
->invert(group
, a
, ctx
);
959 int EC_POINT_is_at_infinity(const EC_GROUP
*group
, const EC_POINT
*point
)
961 if (group
->meth
->is_at_infinity
== 0)
963 ECerr(EC_F_EC_POINT_IS_AT_INFINITY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
966 if (group
->meth
!= point
->meth
)
968 ECerr(EC_F_EC_POINT_IS_AT_INFINITY
, EC_R_INCOMPATIBLE_OBJECTS
);
971 return group
->meth
->is_at_infinity(group
, point
);
975 int EC_POINT_is_on_curve(const EC_GROUP
*group
, const EC_POINT
*point
, BN_CTX
*ctx
)
977 if (group
->meth
->is_on_curve
== 0)
979 ECerr(EC_F_EC_POINT_IS_ON_CURVE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
982 if (group
->meth
!= point
->meth
)
984 ECerr(EC_F_EC_POINT_IS_ON_CURVE
, EC_R_INCOMPATIBLE_OBJECTS
);
987 return group
->meth
->is_on_curve(group
, point
, ctx
);
991 int EC_POINT_cmp(const EC_GROUP
*group
, const EC_POINT
*a
, const EC_POINT
*b
, BN_CTX
*ctx
)
993 if (group
->meth
->point_cmp
== 0)
995 ECerr(EC_F_EC_POINT_CMP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
998 if ((group
->meth
!= a
->meth
) || (a
->meth
!= b
->meth
))
1000 ECerr(EC_F_EC_POINT_CMP
, EC_R_INCOMPATIBLE_OBJECTS
);
1003 return group
->meth
->point_cmp(group
, a
, b
, ctx
);
1007 int EC_POINT_make_affine(const EC_GROUP
*group
, EC_POINT
*point
, BN_CTX
*ctx
)
1009 if (group
->meth
->make_affine
== 0)
1011 ECerr(EC_F_EC_POINT_MAKE_AFFINE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
1014 if (group
->meth
!= point
->meth
)
1016 ECerr(EC_F_EC_POINT_MAKE_AFFINE
, EC_R_INCOMPATIBLE_OBJECTS
);
1019 return group
->meth
->make_affine(group
, point
, ctx
);
1023 int EC_POINTs_make_affine(const EC_GROUP
*group
, size_t num
, EC_POINT
*points
[], BN_CTX
*ctx
)
1027 if (group
->meth
->points_make_affine
== 0)
1029 ECerr(EC_F_EC_POINTS_MAKE_AFFINE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
1032 for (i
= 0; i
< num
; i
++)
1034 if (group
->meth
!= points
[i
]->meth
)
1036 ECerr(EC_F_EC_POINTS_MAKE_AFFINE
, EC_R_INCOMPATIBLE_OBJECTS
);
1040 return group
->meth
->points_make_affine(group
, num
, points
, ctx
);
1044 /* Functions for point multiplication.
1046 * If group->meth->mul is 0, we use the wNAF-based implementations in ec_mult.c;
1047 * otherwise we dispatch through methods.
1050 int EC_POINTs_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*scalar
,
1051 size_t num
, const EC_POINT
*points
[], const BIGNUM
*scalars
[], BN_CTX
*ctx
)
1053 if (group
->meth
->mul
== 0)
1055 return ec_wNAF_mul(group
, r
, scalar
, num
, points
, scalars
, ctx
);
1057 return group
->meth
->mul(group
, r
, scalar
, num
, points
, scalars
, ctx
);
1060 int EC_POINT_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*g_scalar
,
1061 const EC_POINT
*point
, const BIGNUM
*p_scalar
, BN_CTX
*ctx
)
1063 /* just a convenient interface to EC_POINTs_mul() */
1065 const EC_POINT
*points
[1];
1066 const BIGNUM
*scalars
[1];
1069 scalars
[0] = p_scalar
;
1071 return EC_POINTs_mul(group
, r
, g_scalar
, (point
!= NULL
&& p_scalar
!= NULL
), points
, scalars
, ctx
);
1074 int EC_GROUP_precompute_mult(EC_GROUP
*group
, BN_CTX
*ctx
)
1076 if (group
->meth
->mul
== 0)
1078 return ec_wNAF_precompute_mult(group
, ctx
);
1080 if (group
->meth
->precompute_mult
!= 0)
1081 return group
->meth
->precompute_mult(group
, ctx
);
1083 return 1; /* nothing to do, so report success */
1086 int EC_GROUP_have_precompute_mult(const EC_GROUP
*group
)
1088 if (group
->meth
->mul
== 0)
1090 return ec_wNAF_have_precompute_mult(group
);
1092 if (group
->meth
->have_precompute_mult
!= 0)
1093 return group
->meth
->have_precompute_mult(group
);
1095 return 0; /* cannot tell whether precomputation has been performed */